Statistics A First Course

by Freund, John E., Emeritus; Perles, Benjamin M.

• ISBN13: 9780130466532
• ISBN10: 0130466530
• Edition: 8th
• Format: Paperback
• Copyright: 2003-08-11
• Publisher: Pearson

Summary

This book offers a straightforward, "nuts and bolts" , introduction to statistics. The explanations are clear and simple and minimize calculations where possible. A diverse range of applications and examples are presented to make the materials appealing to a wide range of learners.The Eighth Edition features new problems, more real data based examples and exercises, and fuller integration of technology.For individuals beginning a study of statistics.

Table of Contents

Introduction

Numerical Data and Categorical Data

Nominal, Ordinal, Interval, and Ratio Data

Sample Data and Populations

Biased Data

Statistics, Past and Present

The Study of Statistics

Statistics, What Lies Ahead

Summarizing Data: Listing and Grouping

Dot Diagrams

Stem-and-Leaf Displays

Frequency Distributions

Graphical Presentations

Summarizing Data: Statistical Descriptions

Measures of Location: The Mean

Measures of Location: The Weighted Mean

Measures of Location: The Median and Other Fractiles

Measures of Location: The Mode

Measures of Variation: The Range

Measures of Variation: The Standard Deviation

Some Applications of the Standard Deviation

The Description of Grouped Data

Some Further Descriptions

Technical Note Summations

Review: Chapters 1,2, & 3

Possibilities and Probabilities

Counting

Permutations

Combinations

Probability

Mathematical Expectation

A Decision Problem

Some Rules of Probability

The Sample Space

Events

Some Basic Rules of Probability

Probabilities and Odds

Addition Rules

Conditional Probability

Independent Events

Multiplication Rules

Bayes' Theorem

Review: Chapters 4 & 5

Probability Distributions

Probability Distributions

The Binomial Distribution

The Hypergeometric Distribution

The Poisson Distribution

The Multinomial Distribution

The Mean of a Probability Distribution

The Standard Deviation of a Probability Distribution

Chebyshev's Theorem

The Normal Distribution

Continuous Distributions

The Normal Distribution

Some Applications

The Normal Approximation to the Binomial Distribution

Sampling and Sampling Distributions

Random Sampling

Sampling Distributions

The Standard Error of the Mean

The Central Limit Theorem

Review: Chapters 6, 7, & 8

Problems of Estimation

The Estimation of Means

Confidence Intervals for Means

Confidence Intervals for Means (Small Samples)

Confidence Intervals for Standard Deviations

The Estimation of Proportions

Tests Concerning Means

Tests of Hypotheses

Significance Tests

Tests Concerning Means

Tests Concerning Means (Small Samples)

Differences Between Means

Differences Between Means (Small Samples)

Differences Between Means (Paired Data)

Differences Among k

Means

Analysis of Variance

Tests Based on Count Data

Tests Concerning Proportions

Tests Concerning Proportions (Large Samples)

Differences Between Proportions

Differences Among Proportions

Contingency Tables

Goodness of Fit

Review: Chapters 9, 10, & 11

Regression and Correlation

Curve Fitting

The Method of Least Squares

Regression Analysis

The Coefficient of Correlation

The Interpretation of r

A Significance Test for r

Nonparametric Tests

The One-Sample Sign Test

The Paired-Sample Sign Test

The Sign Test (Large Samples)

Rank Sums: The U

Test

Rank Sums: The U Test (Large Samples)

Rank Sums: The H

Test

Tests of Randomness: Runs

Tests of Randomness: Runs (Large Samples)

Tests of Randomness: Runs Above and Below the Median

Rank Correlation

Review: Chapters 12 & 13

TI-83 Tips

Bibliography

Statistical Tables

Answers to Odd-Numbered Exercises

Index

Table of Contents provided by Publisher. All Rights Reserved.

Excerpts

This book is intended primarily for use in a first course in statistics. There is a systematic academic approach inStatistics: A First Course,8th edition. Its emphasis is on instruction in meaningful, well-established statistical techniques. The future would-be medical doctor, business executive, scientist, teacher, or other professional specialist must comprehend and be skillful in the application of basic statistical tools and methodology. The student's knowledge of statistics is greatly enhanced by repeated exposure to statistical exercises. The book contains a wide selection of nearly 1,000 exercises, presented throughout the text. The book also offers a large number of detailed illustrations and examples, in each chapter, designed to provide guidance to readers.Important formulas, definitions, and rules are highlighted within colored boxes. The frequently used tables for normal andtdistributions are repeated on the inside back cover, and the inside front cover contains an indexed glossary of statistical symbols.As in previous editions, controversy has not been avoided. The reader is exposed to the weaknesses of statistical techniques, as well as their strengths. It is hoped that this honest approach will provide a stimulus as well as a challenge.For instructors who have used previous editions of this textbook, it should be noted that the problem sets have been extensively revised. Many additional real data-based problems have been added. Internal referencing within the problem sets has been minimized. Where necessary, pertinent data has been repeated to free students from the unproductive "busy work" of flipping back to previous problems. USE OF TECHNOLOGYThe book makes extensive use of technology such as the computer, graphing calculator, and MINITAB, but their importance should not be overstated. The entire text is built around the authors' goal of presenting statistics at a level that is appropriate and interesting for beginning students.In spite of their obvious value, computers and graphing calculators can safely be eliminated by readers of this textbook without loss of continuity.This edition uses, but does not require, MINITAB. MINITAB printouts, showing both output and session commands, are set off in boxes and are referenced in the examples. MINITAB users will be pleased by the new opportunity for students to purchase this textbook packaged with a CD-ROM containing the data files for this book.Although it is not required, this edition also uses the graphing calculator and acquaints the reader with its numerous benefits.Using Technology: The Graphing Calculatorboxes appear throughout the book. These boxes provide keystrokelevel instruction for using the TI-83 to find solutions to selected examples in the book.Appendix A,TI-83Tips, written by Dorothy Wakefield of the University of Connecticut and Kathleen McLaughlin of Manchester Community College, provides additional help in using the graphing calculator.Many problems are designed to be solved with the aid of a computer or a graphing calculator and are identified with a technology icon. OTHER FEATURESReviewsections are presented at two- or three-chapter intervals throughout the book. Five review sections reinforce connections outside the context of a particular section or chapter. Identified with a pale blue screen, they include A list ofAchievementsthat students should have mastered after studying the group of chapters; AChecklist of Key Termsannotated with specific page references; A cumulative section ofReview Exercisesthat tests concepts from the immediately preceding chapters.Representative problems within each exercise set are highlighted with a check to identify them asPractice Exercises.Fully worked out solutions to these exercises are presented at the end of each chapter